Question

$\underset{x\to 1^{-}}{lim}\left(\right[x]{)}^{1-x}$,where $[.]$ denotes greatest integer function.

Answer 1

${lim}_{x\to 1^{-}}{\left[x\right]}^{1-x}={lim}_{x\to 1^{-}}{(-2)}^{1-x}={(-2)}^{1+1}=4$